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Simplifying 30n2b + -8nb + 30n = 0 Reorder the terms: -8bn + 30bn2 + 30n = 0 Solving -8bn + 30bn2 + 30n = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-30n' to each side of the equation. -8bn + 30bn2 + 30n + -30n = 0 + -30n Combine like terms: 30n + -30n = 0 -8bn + 30bn2 + 0 = 0 + -30n -8bn + 30bn2 = 0 + -30n Remove the zero: -8bn + 30bn2 = -30n Combine like terms: -30n + 30n = 0 -8bn + 30bn2 + 30n = 0 Factor out the Greatest Common Factor (GCF), '2n'. 2n(-4b + 15bn + 15) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing b to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4b + 15bn + 15)' equal to zero and attempt to solve: Simplifying -4b + 15bn + 15 = 0 Reorder the terms: 15 + -4b + 15bn = 0 Solving 15 + -4b + 15bn = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -4b + -15 + 15bn = 0 + -15 Reorder the terms: 15 + -15 + -4b + 15bn = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4b + 15bn = 0 + -15 -4b + 15bn = 0 + -15 Combine like terms: 0 + -15 = -15 -4b + 15bn = -15 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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